You toss a coin 50 times and get 12 tails. What is the empirical probability of getting heads? Write your answer in percent form. (1 point)

Responses

0.76

Start Fraction 19 over 25 End Fraction

24%

76%

1 answer

To find the empirical probability of getting heads from your coin tosses, you can use the following steps:

  1. Determine the total number of tosses: You tossed the coin 50 times.
  2. Determine the number of heads: Since you got 12 tails, you can find the number of heads by subtracting the number of tails from the total tosses: \[ \text{Number of heads} = \text{Total tosses} - \text{Number of tails} = 50 - 12 = 38. \]
  3. Calculate the empirical probability of heads: The empirical probability (P) of getting heads is given by the formula: \[ P(\text{heads}) = \frac{\text{Number of heads}}{\text{Total tosses}} = \frac{38}{50}. \]
  4. Convert the fraction to a percentage: \[ P(\text{heads}) = \frac{38}{50} = 0.76. \] To convert 0.76 to a percentage, multiply by 100: \[ 0.76 \times 100 = 76%. \]

Therefore, the empirical probability of getting heads is 76%.